Some best proximity point results on b-metric spaces with an application

Abstract

In this paper, we introduce the concept of \vartheta -p-contraction mapping on b-metric spaces. Then, we obtain some best proximity results for these mappings. Also, an example to support the validity and superiority of our result has been given. Lastly, for the existence of solutions of nonlinear fractional differential equations of Caputo type we provide an application.

Keywords

• b-metric spaces
• best proximity point
• nonlinear fractional differential equations

References

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